Question

if (-8, 22) and (3, 0) are two anchor points on a trend line, then find the equation of the line. y = ?x +

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-8,22)$ and $(x_2,y_2)=(3,0)$. Then $m=\frac{0 - 22}{3-(-8)}=\frac{- 22}{3 + 8}=\frac{-22}{11}=-2$.

Step2: Find the y - intercept

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Using the point $(3,0)$ and $m=-2$, we have $y-0=-2(x - 3)$. Expand to get $y=-2x+6$.

Answer:

$y=-2x + 6$